Local positivity in terms of Newton-Okounkov bodies

DOI10.1016/j.aim.2016.05.028zbMath1375.14033arXiv1505.02051OpenAlexW2152148037MaRDI QIDQ305727

Joaquim Roé

Publication date: 30 August 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.02051

zbMATH Keywords

linear systempositivityalgebraic surfacealgebraic geometrybig divisorlocal positivityNewton-Okounkov body

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Divisors, linear systems, invertible sheaves (14C20)

Related Items (7)

Local numerical equivalences and Okounkov bodies in higher dimensions ⋮ Newton-Okounkov bodies sprouting on the valuative tree ⋮ Asymptotic base loci via Okounkov bodies ⋮ Algebraic reverse Khovanskii-Teissier inequality via Okounkov bodies ⋮ Seshadri constants and Okounkov bodies revisited ⋮ Positivity of line bundles and Newton-Okounkov bodies ⋮ Newton-Okounkov bodies of exceptional curve valuations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convex bodies appearing as Okounkov bodies of divisors
• Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
• Okounkov bodies and restricted volumes along very general curves
• Weil divisors on normal surfaces
• Zariski decomposition of divisors on algebraic varieties
• On Zariski problem
• Local positivity of linear series on surfaces
• Brunn-Minkowski inequality for multiplicities
• The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface
• Convex bodies associated to linear series

This page was built for publication: Local positivity in terms of Newton-Okounkov bodies